As shown in figure, two blocks A and B of mass 1kg each are connected by an ideal string that passes over a smooth pulley that is fixed on a smooth fixed wedge as shown. If the ratio of normal reaction on block A and on block B is 43 then
A
cosθ=45
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B
sinθ=45
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C
acceleration of blocks is g10
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D
acceleration of blocks is g5
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Solution
The correct option is C acceleration of blocks is g10 Normal force acting on the block A is given by NA=mgcosθ
Normal force acting on the block B is given by NB=mgcos53∘
as given NANB=43⇒cosθcos53∘=43 ∴cosθ=43×35⇒cosθ=45
Now, a=mg[sin53∘−sinθ]2m=g10